The astounding beauty of mathematics

Oh, if only mathematics loved me as much as I love her!

Since the time the Clay Mathematics Institute announced The Millennium Prize Problems in 2000, one of them have been solved (Poincaré Conjecture), and another one (Navier–Stokes Equation) has a promising solution that is undergoing a verification.

  1. A news article announcing that KAZINFORM Mukhtarbai Otelbayev, a professor from Astana, has solved one of the seven most difficult mathematical tasks included in the number of “millennium problems”.

  2. Mukhtarbai Otelbayev’s paper (PDF) in a Russian journal published by the Institute of Mathematics and Mathematical Modelling, organized by Government of the Republic of Kazakhstan.

While time passes, and other mathematicians eventually confirm or reject Otelbayev’s proof, I want to take a closer look at the problem of the Navier–Stokes Equations. To be able to do that, I need to cover a lot of ground in the not-so trivial land of mathematics. The starting point has been chosen: “Stochastic differential equation”.

Working through the An Introduction to Stochastic Differential Equations by Lawrence C. Evans.